Greatest Common Factor of 58/1, 12/2, 35/4, 94/5, 382/4, 59/6, 72/5, 257/4, 21/5, 79/5

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 58/1, 12/2, 35/4, 94/5, 382/4, 59/6, 72/5, 257/4, 21/5, 79/5

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 58/1,12/2,35/4,94/5,382/4,59/6,72/5,257/4,21/5,79/5

Given fractions are 58/1,12/2,35/4,94/5,382/4,59/6,72/5,257/4,21/5,79/5

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 58,12,35,94,382,59,72,257,21,79

Greatest Common Factor of Numerators i.e. GCF of 58,12,35,94,382,59,72,257,21,79 is 1 .

LCM of Denominators means LCM of 1,2,4,5,4,6,5,4,5,5 as per the given fractions.

LCM of 1,2,4,5,4,6,5,4,5,5 is 60 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 58,12,35,94,382,59,72,257,21,79

GCF of Fractions 58/1,12/2,35/4,94/5,382/4,59/6,72/5,257/4,21/5,79/5 is 1/60

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 58,12,35,94,382,59,72,257,21,79 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,12,35,94,382,59,72,257,21,79 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Greatest Common Factor

We found the factors 58,12,35,94,382,59,72,257,21,79 . The biggest common factor number is the GCF number.
So the greatest common factor 58,12,35,94,382,59,72,257,21,79 is 1.

Lets's calculate LCM of 1,2,4,5,4,6,5,4,5,5

2 1, 2, 4, 5, 4, 6, 5, 4, 5, 5
2 1, 1, 2, 5, 2, 3, 5, 2, 5, 5
5 1, 1, 1, 5, 1, 3, 5, 1, 5, 5
1, 1, 1, 1, 1, 3, 1, 1, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 1 x 1 x 1 x 1 x 3 x 1 x 1 x 1 x 1 = 60

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60

Therefore, the GCF of Fractions 58/1,12/2,35/4,94/5,382/4,59/6,72/5,257/4,21/5,79/5 is 1/60

Least Common Multiple of 1,2,4,5,4,6,5,4,5,5 with GCF Formula

Least Common Multiple of 1,2,4,5,4,6,5,4,5,5 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 1,2,4,5,4,6,5,4,5,5 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,2,4,5,4,6,5,4,5,5) = 1

common factors(in case of two or more numbers have common factors) = 8000

GCF(1,2,4,5,4,6,5,4,5,5) x common factors =1 x 8000 = 8000

LCM(1,2,4,5,4,6,5,4,5,5) = ( 1 × 2 × 4 × 5 × 4 × 6 × 5 × 4 × 5 × 5 ) / 8000

LCM(1,2,4,5,4,6,5,4,5,5) = 480000 / 8000

LCM(1,2,4,5,4,6,5,4,5,5) = 60


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 58/1, 12/2, 35/4, 94/5, 382/4, 59/6, 72/5, 257/4, 21/5, 79/5

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 58/1, 12/2, 35/4, 94/5, 382/4, 59/6, 72/5, 257/4, 21/5, 79/5?

Answer: GCF of Numerators as per given numbers 58/1, 12/2, 35/4, 94/5, 382/4, 59/6, 72/5, 257/4, 21/5, 79/5 is

GCF of Numerators i.e. for 58,12,35,94,382,59,72,257,21,79 is 1

LCM of denominators i.e. for 1,2,4,5,4,6,5,4,5,5 is 60.

Thus, GCF of Fractions is 1/60.Finally, GCF of Fractions for 58/1, 12/2, 35/4, 94/5, 382/4, 59/6, 72/5, 257/4, 21/5, 79/5 is 1/60.